A Note on the Dirichlet Problem at Infinity for Manifolds of Negative Curvature

DOI10.2307/2159417zbMath0749.58057OpenAlexW4239473103MaRDI QIDQ3987634

Albert Borbe'ly

Publication date: 28 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159417

zbMATH Keywords

Dirichlet problemnegative curvaturenoncompact Riemannian manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Boundary value problems on manifolds (58J32)

Related Items (11)

On the smoothness of the convex hull in negatively curved manifolds ⋮ Martin compactification of a complete surface with negative curvature ⋮ On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold ⋮ Weak topology on CAT(0) spaces ⋮ Convexity at infinity and bounded harmonic functions ⋮ Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems ⋮ Some results on the convex hull of finitely many convex sets ⋮ Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces ⋮ The asymptotic Dirichlet problems on manifolds with unbounded negative curvature ⋮ Survey on the asymptotic Dirichlet problem for the minimal surface equation ⋮ Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems

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